the salary of an officer is increased by 25%. But what per cent should...
Let's consider the salary of officer to be 100.
So, If the salary is increased by 25% , then the new salary -
100+ [100�(25/100) ] = 100+25 = 125
So, his new salary is 125
To make his salary original 25 must be subtracted from 125 , then his salary will be 125-25 = 100 or original salary.
So, To find percentage of salary which must be decreased we must find that 25 is what percentage of 125 .
So, decrease%
= (25/125) � 100
= 1/5 � 100
= 20%
Answer) 20% of his new salary must be deducted so that his salary becomes Original
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the salary of an officer is increased by 25%. But what per cent should...
Introduction:
When the salary of an officer is increased by 25%, it means that the new salary is 125% of the original salary. To restore the original salary, we need to find the percentage by which the new salary should be decreased.
Let's solve the problem step by step:
Step 1: Calculate the new salary:
To find the new salary, we need to add 25% of the original salary to the original salary. Let's assume the original salary is S.
New salary = S + 0.25S
= S(1 + 0.25)
= S(1.25)
So, the new salary is 1.25 times the original salary.
Step 2: Calculate the percentage decrease:
To find the percentage decrease needed to restore the original salary, we need to calculate the difference between the new salary and the original salary. Let's assume the percentage decrease is D%.
Difference = New salary - Original salary
= S(1.25) - S
= 0.25S
Now, we need to find the percentage decrease that equals 0.25S.
Step 3: Calculate the required percentage decrease:
To find the required percentage decrease, we divide the difference by the new salary and multiply by 100.
Required percentage decrease = (Difference / New salary) * 100
= (0.25S / S(1.25)) * 100
= (0.25 / 1.25) * 100
= 0.2 * 100
= 20%
Therefore, the new salary should be decreased by 20% to restore the original salary.
Conclusion:
To restore the original salary after a 25% increase, the new salary needs to be decreased by 20%. This can be calculated by finding the difference between the new salary and the original salary, dividing it by the new salary, and multiplying by 100.
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